11211505400 has 48 divisors (see below), whose sum is σ = 26085607200. Its totient is φ = 4481358080.

The previous prime is 11211505399. The next prime is 11211505433. The reversal of 11211505400 is 450511211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267041 + ... + 306159.

It is an arithmetic number, because the mean of its divisors is an integer number (543450150).

Almost surely, 2^11211505400 is an apocalyptic number.

11211505400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211505400 is an abundant number, since it is smaller than the sum of its proper divisors (14874101800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211505400 is a wasteful number, since it uses less digits than its factorization.

11211505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40568 (or 40559 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 11211505400 in words is "eleven billion, two hundred eleven million, five hundred five thousand, four hundred".